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Finding the Fourth Proportional to 510,099.27, 703,862.70 and 306,106.86

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Solution

The fourth proportional to 510,099.27, 703,862.70 and 306,106.86 is: 422,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,099.27 : 703,862.70 = 306,106.86 : x
  2. Step 2: Convert to fraction form
    510,099.27/703,862.70 = 306,106.86/x
  3. Step 3: Cross multiply
    510,099.27x = 703,862.70 × 306,106.86
  4. Step 4: Simplify right side
    510,099.27x = 215,457,200,968.12
  5. Step 5: Solve for x
    x = 215,457,200,968.12/510,099.27
  6. Step 6: Final answer
    x = 422,382.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.